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Finding the Fourth Proportional to 31,085.59, 46,642.16 and 16,290.99

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Solution

The fourth proportional to 31,085.59, 46,642.16 and 16,290.99 is: 24,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.59 : 46,642.16 = 16,290.99 : x
  2. Step 2: Convert to fraction form
    31,085.59/46,642.16 = 16,290.99/x
  3. Step 3: Cross multiply
    31,085.59x = 46,642.16 × 16,290.99
  4. Step 4: Simplify right side
    31,085.59x = 759,846,728.93
  5. Step 5: Solve for x
    x = 759,846,728.93/31,085.59
  6. Step 6: Final answer
    x = 24,443.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.